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The graphs of two functions f and g are shown below. Suppose the function h is defined as h(x)=g(x ...
The graphs of two functions f and g are shown below. Suppose the function h is defined as h(x)=g(x)f(x). a. Determine the vertical intercept of h. h(0)= b. Determine the root(s) of h. x=1−1=−1.,−4=−4. c. Determine the vertical asymptote(s) of h. x= d. Determine the horizontal asymptote of h. y=
From the graph, we can see that the function f passes through the points (-1, 0) and (0, 1). Therefore, the equation of function f will be: Replace y with f(x), we'll get: Similarly, the function g passes through the points (-4, 0) and (0, 4). Therefore, the equation of the function g will be: Replace y with g(x), we'll get: